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Finding the Third Proportional to 359,226 and 598,686

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Solution

The third proportional to 359,226 and 598,686 is: 997,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,226 : 598,686 = 598,686 : x
  2. Step 2: Convert to fraction form
    359,226/598,686 = 598,686/x
  3. Step 3: Cross multiply
    359,226x = 598,686 × 598,686
  4. Step 4: Simplify right side
    359,226x = 358,424,926,596
  5. Step 5: Solve for x
    x = 358,424,926,596/359,226
  6. Step 6: Final answer
    x = 997,770.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.